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solution for the Stepping Stone of Northwest Corner Method

solution for the Stepping Stone of Northwest Corner Method

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Please show the solution for the Stepping Stone of Northwest Corner Method

Factories 1 2 3 Requirement Step 1: Factories 1 2 3 Requirement Step 2: Factories 1 2 3 Requirement Step 3: Factories 1 2 3 Requirement Step 4: Factories 1 2 3 Requirement Step 5: Factories 1 2 3 Requirement Step 6: Factories 1 2 3 Requirement Step 7: Factories 1 2 3 Requirement Step 8: Factories 1 2 3 Requirement Step 10: Factories 1 2 3 Requirement Step 11: Factories 1 2 3 Requirement Step 12: Factories 1 2 3 Requirement Step 13: Factories 1 Step 14: 1 1 24 14 100 Factories 1 2 1 1 24 3 Requirement 14 100 1 1 (50) 24 14 100 Step 9: 1 Factories 1 1 (50) 24 (50) 2 3 14 Requirement 0 1 1 (50) 24 14 50 (100-50) 1 1 (50) 24 14 50 1 1 (50) 24 (50) 14 50 1 1 (50) 24 (50) 14 0 (50-50) 1 1 (50) 24 (50) 14 0 1 1 (50) 24 (50) 14 0 Allocate Capacity and Requirement in that cell Retail Agency 1 1 (50) 24 (50) 14 0 1 1 (50) 2 24 (50) 3 14 Requirement 0 North West Corner Method Retail Agency 3 13 16 1 50 1 1 (50) 24 (50) 14 0 2 9 12 33 60 1 1 (50) 24 (50) 14 0 2 9 12 33 60 2 9 12 1 1 (50) 24 (50) 33 60 2 9 12 33 60 2 9 12 33 60 2 9 12 33 60 2 9 12 33 60 Find the North West Corner Retail Agency Ignore allocated rows and columns Retail Agency 2 9 12 33 60 2 9 2 9 12 (50) 33 60 Allocate Capacity and Requirement in that cell Retail Agency 3 13 16 1 50 12 (50) 33 10 (60-50) Find the North West Corner Retail Agency 3 13 16 1 50 2 9 12 (50) 33 10 3 13 16 1 50 2 9 12 (50) 33 (10) 10 2 9 3 13 16 1 50 2 9 12 (50) 33 (10) 0 (10-10) 3 13 16 1 50 4 35 20 23 50 12 (50) 33 (10) 0 Ignore allocated rows and columns Retail Agency 3 13 16 1 50 2 9 12 (50) 14 33 (10) 0 0 4 35 20 23 50 Find the North West Corner Retail Agency 3 13 16 1 50 Initial Basic Feasible Solution: 4420 4 35 20 23 50 3 13 16 1 50 4 35 20 23 50 3 13 16 1 50 4 35 20 23 50 3 13 16 1 50 4 35 3 13 16 1 50 20 23 50 4 35 Find the North West Corner Retail Agency 20 23 50 Allocate Capacity and Requirement in that cell Retail Agency 4 35 20 23 50 4 35 20 23 50 Ignore allocated rows and columns Retail Agency 4 35 20 23 50 5 50 1 26 40 4 35 20 23 50 5 50 1 26 40 4 35 20 23 50 5 50 1 26 40 4 35 5 50 1 26 40 20 23 50 5 50 1 26 40 4 35 20 23 (50) 50 5 50 1 26 40 4 35 20 5 50 1 26 40 5 50 1 26 40 Allocate Capacity and Requirement in that cell Retail Agency Ignore allocated rows and columns Retail Agency 3 13 16 1 50 5 50 1 26 40 5 50 1 26 40 5 50 Capacity 50 100 150 300 1 26 40 Capacity 50 100 150 Ignore allocated rows and columns Retail Agency 3 13 16 1 (50) 23 (50) 0 0 (50-50) (50-50) Capacity 50 100 150 Capacity 0 5 50 1 26 (40) 40 Capacity 0 5 50 1 26 (40) 0 (40-40) 100 150 Capacity 0 100 150 100 150 Capacity 0 Allocate Capacity and Requirement in the remaining cell Retail Agency 3 13 16 1 (50) 50 Capacity 0 5 Capacity 50 0 1 0 26 150 40 50 150 50 150 Capacity 0 50 150 Capacity 0 0 150 5 Capacity 50 0 1 0 26 140 40 Capacity 0 0 150 Capacity 0 0 140 (50-50) (100-50) (50-50) (150-10) Capacity 0 0 0 (140-140) (1*50)+(24*50)+(12*50)+(33*10)+(1*50)+(23*50)+(26*40)
Transcribed Image Text:Factories 1 2 3 Requirement Step 1: Factories 1 2 3 Requirement Step 2: Factories 1 2 3 Requirement Step 3: Factories 1 2 3 Requirement Step 4: Factories 1 2 3 Requirement Step 5: Factories 1 2 3 Requirement Step 6: Factories 1 2 3 Requirement Step 7: Factories 1 2 3 Requirement Step 8: Factories 1 2 3 Requirement Step 10: Factories 1 2 3 Requirement Step 11: Factories 1 2 3 Requirement Step 12: Factories 1 2 3 Requirement Step 13: Factories 1 Step 14: 1 1 24 14 100 Factories 1 2 1 1 24 3 Requirement 14 100 1 1 (50) 24 14 100 Step 9: 1 Factories 1 1 (50) 24 (50) 2 3 14 Requirement 0 1 1 (50) 24 14 50 (100-50) 1 1 (50) 24 14 50 1 1 (50) 24 (50) 14 50 1 1 (50) 24 (50) 14 0 (50-50) 1 1 (50) 24 (50) 14 0 1 1 (50) 24 (50) 14 0 Allocate Capacity and Requirement in that cell Retail Agency 1 1 (50) 24 (50) 14 0 1 1 (50) 2 24 (50) 3 14 Requirement 0 North West Corner Method Retail Agency 3 13 16 1 50 1 1 (50) 24 (50) 14 0 2 9 12 33 60 1 1 (50) 24 (50) 14 0 2 9 12 33 60 2 9 12 1 1 (50) 24 (50) 33 60 2 9 12 33 60 2 9 12 33 60 2 9 12 33 60 2 9 12 33 60 Find the North West Corner Retail Agency Ignore allocated rows and columns Retail Agency 2 9 12 33 60 2 9 2 9 12 (50) 33 60 Allocate Capacity and Requirement in that cell Retail Agency 3 13 16 1 50 12 (50) 33 10 (60-50) Find the North West Corner Retail Agency 3 13 16 1 50 2 9 12 (50) 33 10 3 13 16 1 50 2 9 12 (50) 33 (10) 10 2 9 3 13 16 1 50 2 9 12 (50) 33 (10) 0 (10-10) 3 13 16 1 50 4 35 20 23 50 12 (50) 33 (10) 0 Ignore allocated rows and columns Retail Agency 3 13 16 1 50 2 9 12 (50) 14 33 (10) 0 0 4 35 20 23 50 Find the North West Corner Retail Agency 3 13 16 1 50 Initial Basic Feasible Solution: 4420 4 35 20 23 50 3 13 16 1 50 4 35 20 23 50 3 13 16 1 50 4 35 20 23 50 3 13 16 1 50 4 35 3 13 16 1 50 20 23 50 4 35 Find the North West Corner Retail Agency 20 23 50 Allocate Capacity and Requirement in that cell Retail Agency 4 35 20 23 50 4 35 20 23 50 Ignore allocated rows and columns Retail Agency 4 35 20 23 50 5 50 1 26 40 4 35 20 23 50 5 50 1 26 40 4 35 20 23 50 5 50 1 26 40 4 35 5 50 1 26 40 20 23 50 5 50 1 26 40 4 35 20 23 (50) 50 5 50 1 26 40 4 35 20 5 50 1 26 40 5 50 1 26 40 Allocate Capacity and Requirement in that cell Retail Agency Ignore allocated rows and columns Retail Agency 3 13 16 1 50 5 50 1 26 40 5 50 1 26 40 5 50 Capacity 50 100 150 300 1 26 40 Capacity 50 100 150 Ignore allocated rows and columns Retail Agency 3 13 16 1 (50) 23 (50) 0 0 (50-50) (50-50) Capacity 50 100 150 Capacity 0 5 50 1 26 (40) 40 Capacity 0 5 50 1 26 (40) 0 (40-40) 100 150 Capacity 0 100 150 100 150 Capacity 0 Allocate Capacity and Requirement in the remaining cell Retail Agency 3 13 16 1 (50) 50 Capacity 0 5 Capacity 50 0 1 0 26 150 40 50 150 50 150 Capacity 0 50 150 Capacity 0 0 150 5 Capacity 50 0 1 0 26 140 40 Capacity 0 0 150 Capacity 0 0 140 (50-50) (100-50) (50-50) (150-10) Capacity 0 0 0 (140-140) (1*50)+(24*50)+(12*50)+(33*10)+(1*50)+(23*50)+(26*40)
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